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Finding the Fourth Proportional to 202,062.68, 278,840.53 and 111,418.62

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Solution

The fourth proportional to 202,062.68, 278,840.53 and 111,418.62 is: 153,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,062.68 : 278,840.53 = 111,418.62 : x
  2. Step 2: Convert to fraction form
    202,062.68/278,840.53 = 111,418.62/x
  3. Step 3: Cross multiply
    202,062.68x = 278,840.53 × 111,418.62
  4. Step 4: Simplify right side
    202,062.68x = 31,068,027,052.67
  5. Step 5: Solve for x
    x = 31,068,027,052.67/202,062.68
  6. Step 6: Final answer
    x = 153,754.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.